Find sin0 where 0 is the angle shown. give an exact value, not a decimal approximation.

Sine is the trigonometric function that for an acute angle is the ratio between the leg opposite the angle when it is considered part of a right triangle and the hypotenuse. Cosine of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse.

Consider the given figure.

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the sine of the angle Ф is opp / hyp, or √57/11

Step-by-step explanation:

Find sin Ф where Ф is the angle shown.

Since the sine function is defined as the value of the ratio

opp side / hypotenuse, we must find the length of the opp side.  Using the Pythagorean Theorem, we get:

11² = opp² + 8², which leads to opp² = 121 - 64, so that opp = √57.

Then the sine of the angle Ф is opp / hyp, or √57/11

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

addition

step-by-step explanation: